101002221012012 has 24 divisors (see below), whose sum is σ = 235672534003200. Its totient is φ = 33667309150416.

The previous prime is 101002221011999. The next prime is 101002221012031. The reversal of 101002221012012 is 210210122200101.

It is a junction number, because it is equal to n+sod(n) for n = 101002221011982 and 101002221012000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7868712 + ... + 16245647.

It is an arithmetic number, because the mean of its divisors is an integer number (9819688916800).

Almost surely, 2^{101002221012012} is an apocalyptic number.

101002221012012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101002221012012 is an abundant number, since it is smaller than the sum of its proper divisors (134670312991188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101002221012012 is a wasteful number, since it uses less digits than its factorization.

101002221012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24463405 (or 24463403 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101002221012012 its reverse (210210122200101), we get a palindrome (311212343212113).

The spelling of 101002221012012 in words is "one hundred one trillion, two billion, two hundred twenty-one million, twelve thousand, twelve".